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Finding the Fourth Proportional to 12,749.40, 17,593.92 and 7,084.12

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Solution

The fourth proportional to 12,749.40, 17,593.92 and 7,084.12 is: 9,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.40 : 17,593.92 = 7,084.12 : x
  2. Step 2: Convert to fraction form
    12,749.40/17,593.92 = 7,084.12/x
  3. Step 3: Cross multiply
    12,749.40x = 17,593.92 × 7,084.12
  4. Step 4: Simplify right side
    12,749.40x = 124,637,440.55
  5. Step 5: Solve for x
    x = 124,637,440.55/12,749.40
  6. Step 6: Final answer
    x = 9,775.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.